Q1
MCQ
1 mark
Round off 81 604 to the nearest thousand.
P6 Mathematics SA1 2017 — Methodist Girls
Source: Methodist Girls, 2017
This P6 Mathematics SA1 paper from Methodist Girls (2017) covers measurement, area and perimeter, geometry and angles, ratio, money and percentage across 48 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
In 946 875, which digit is in the ten thousands place?
Q3
MCQ
1 mark
Which one of the following fractions is greater than 1/3?
Q4
MCQ
1 mark
In a group of 80 children, 56 were girls. What percentage of the children were boys?
Q5
MCQ
1 mark
The breadth of a rectangle is 12 cm and its length is 20 cm. Find the ratio of the breadth of the rectangle to its area.
Q6
MCQ
1 mark
Mark cycled 11.05 km, swam 5 050 m and ran 10.01 km as part of his training for a triathlon in 3 hours. What was the total distance that he covered in metres?
Q7
MCQ
1 mark
🖼 Visual
In the figure, ADE is an equilateral triangle and ABCD is a parallelogram. CDE is a straight line. Find ∠ABC.
Q8
MCQ
1 mark
🖼 Visual
In the figure below, JKLM is a parallelogram. Find ∠PJM.
Q9
MCQ
1 mark
Find the value of 8h + 6 + 3h - 2 when h = 6.
Q10
MCQ
1 mark
Which one of the following statements is false?
(1) The radius of a circle is half the length of its diameter.
(2) The diameter of a circle passes through the centre of a circle.
(3) The diameter is slightly more than three times the circumference of a circle.
(4) The circumference of a circle is slightly more than three times its diameter.
Q11
MCQ
2 marks
At a party, 3/5 of the guests were adults. 1/6 of the adults were men. 3/4 of the children were boys. What fraction of the guests were males?
Q12
MCQ
2 marks
There are apples, oranges and pears in a basket. The ratio of the number of apples to the number of oranges is 5 : 2. The ratio of the number of oranges to the number of pears is 1 : 4. What is the ratio of the number of apples to the total number of fruits in the basket?
Q13
MCQ
2 marks
Janice baked some muffins. She gave 20% of the muffins to her friends and ate 1/3 of the remaining muffins. She had 24 muffins left. How many muffins did she bake?
Q14
MCQ
2 marks
🖼 Visual
The figure below is made of a quarter circle and a semi-circle. What is the perimeter of the figure? Leave your answer in terms of π.
Q15
MCQ
2 marks
🖼 Visual
The triangle below is not drawn to scale. What is its area?
Q16
Open-ended
1 mark
Find the value of 206 x 50.
Q17
Open-ended
1 mark
🖼 Visual
In the number line below, A is the mid-point of two fractions. What is the value of A? Give your answer in the simplest form.
Q18
Open-ended
1 mark
1/2 of A is equal to 2/5 of B. What is the ratio A : B?
Q19
Open-ended
1 mark
🖼 Visual
For Questions 19 and 20, refer to the grid below. The grid shows the plan of a city. Town P is north of Town S.
Town R is South-West of Town P and West of Town S.
Q20
Open-ended
1 mark
🖼 Visual
Town T is East of Town P and South-East of Town Q.
Q21
Open-ended
1 mark
The number of apples is 5/6 of the number of pears. What is the ratio of the number of pears to the total number of fruits?
Q22
Open-ended
1 mark
🖼 Visual
In the figure below, PQTS is a trapezium and PQR is a right-angled triangle. Find ∠PRQ.
Q23
Open-ended
1 mark
🖼 Visual
In the figure below, XY is a straight line and EF is parallel to GH. Name all the angles that are equal to ∠a.
Q24
Open-ended
1 mark
🖼 Visual
AB is a straight line. Draw a triangle with ∠CBA = 125°. Label the point C.
Q25
Open-ended
1 mark
A school hall has 720 chairs. Three out of every four chairs are occupied. How many chairs are vacant?
Q26
Open-ended
2 marks
Ali needed to pack 1 450 cans into cartons. He could only pack 250 cans into each carton. How many cans were left unpacked?
Q27
Open-ended
2 marks
The perimeter of a rectangle is twice the perimeter of a square. The breadth of the rectangle is the same as the length of the square. What is the length of the rectangle, given that the breadth of the rectangle is b cm? Give your answer in terms of b.
Q28
Open-ended
2 marks
The amount of money that Ruth and Amanda had was in the ratio of 4 : 9. After Amanda gave $30 to Ruth, they had the same amount of money. How much did they have altogether?
Q29
Open-ended
2 marks
🖼 Visual
The figure ABCD, not drawn to scale, is made up of 16 identical squares. The area of the shaded parts is 648 cm². Find the perimeter of figure ABCD.
Q30
Open-ended
2 marks
1 kg of prawns cost $n and 1 kg of fish cost $3 more. Bala bought 3 kg of prawns and 2 kg of fish. How much did he pay altogether for the prawns and fish?
Q31
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) The figure below is made up of 2 identical triangles, ABF and CDE, and a rectangle, BCEF. The area of triangle ABF is 15 cm². BC = CY = YE = EF = FX = XB = 3 cm. Find the area of the figure below.
Q32
Open-ended
2 marks
(Paper 2, ____) Sally received 60% of the votes for chairperson and she received 38 more votes than the other candidates. What was the total number of votes cast?
Q33
Open-ended
2 marks
(Paper 2, ____) The mass of a box with 50 identical balls in it is 1 070 g. When 10 of the balls are removed, the mass of the box with the remaining balls is 950 g. What is the mass of each ball?
Q34
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) ABCD is a rectangular cardboard measuring 40 cm by 20 cm. Mary cut out a semicircle and 2 corners from it. Find the perimeter of the remaining cardboard which is shaded below. Leave your answer in terms of π.
Q35
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) ABCD is a square of area 1 296 cm². The shaded square within ABCD has an area of 81 cm². What is the length of AE?
Q36
Open-ended
3 marks
(Paper 2, ____) Gavin was paid $4.80 to assemble a table. He received an additional $6.60 for every 8 tables that he assembled. Gavin received a total of $253.80. How many tables did Gavin assemble?
Q37
Open-ended
3 marks
(Paper 2, ____) Three children sold a number of tickets. Ally sold 1/8 of the tickets. Brenda sold 4 tickets more than Ally. Cathy sold 32 tickets. How many tickets did they sell altogether?
Q38
Open-ended
3 marks
(Paper 2, ____) 40% of the number of shells that June has is equal to 25% of the number of shells that Sharon has. June has 45 shells less than Sharon. How many shells do they have altogether?
Q39
Open-ended
3 marks
(Paper 2, ____) Mrs Lim's age and her daughter's age are in the ratio of 6 : 1. Mrs Lim is 30 years older than her daughter. In how many years' time will Mrs Lim be 4 times as old as her daughter?
Q40
Open-ended
3 marks
🖼 Visual
(Paper 2, ____) The figure below shows 2 similar semicircles that overlap. The area of the shaded region is 3/7 of the area of one semicircle. DE = EF = FG = 7 m. Find the area of the unshaded region. (Take π = 22/7)
Q41
Open-ended
4 marks
(Paper 2, ____) Jane went to a boutique with $434, which was just enough to buy 6 similar dresses and 5 similar skirts. When she was there, she bought 5 similar dresses and 6 similar skirts instead. She had $21 left. What was the cost of a dress?
Q42
Structured
4 marks
(Paper 2, ____) May Lin paid a total of $120 for some books and pens. A book cost $m. She bought 4 more books than pens.
(a) How much did May Lin spend on the pens? Give your answer in terms of m.
(b) If m = 6, how much did she spend on the books?
Q43
Structured
4 marks
🖼 Visual
(Paper 2, ____) In the figure below, ABCD is a rhombus and BEFC is a trapezium. AC is parallel to BE and BC is parallel to EF. DCF is a straight line. ∠ABC is 50°.
(a) Find ∠CAD.
(b) Find ∠BEF.
Q44
Open-ended
4 marks
🖼 Visual
(Paper 2, ____) A square tile of sides 51 cm has the following design made up of 8 similar circles. What is the area of the region not covered by the circles? (Take π = 3.14)
Q45
Structured
4 marks
(Paper 2, ____) Mr Ng bought 5 kg of white rice and 4 kg of brown rice for $27. The cost of 1 kg of white rice was $2.25 less than the cost of 1 kg of brown rice. He mixed the white and brown rice and re-sold the mixture at $1.50 per kg.
(a) How much did he sell 9 kg of the mixture for?
(b) How much did 1 kg of white rice cost at first?
Q46
Structured
5 marks
🖼 Visual
(Paper 2, ____) Some identical rectangular tiles were arranged to form a rectangle as shown. The length of each tile was 9 cm.
(a) What was the width of each tile?
(b) Find the total area of the shaded regions.
Q47
Open-ended
5 marks
(Paper 2, ____) In the beginning, the ratio of Pamela's beads to Dani's beads was 10 : 7. Pamela gave 30% of her beads to Dani. Dani then gave 25% of her beads to Pamela. In the end, Dani had 32 beads fewer than Pamela. How many beads did Pamela have at first?
Q48
Structured
5 marks
(Paper 2, ____) Martha put some erasers and pens in 2 boxes. She put the same number of erasers in each box. In Box A, the ratio of the number of erasers to the number of pens was 3 : 4. In Box B, the number of erasers was twice the number of pens. Martha then transferred half of the number of pens from Box A to Box B. The number of items in Box A then became 120.
(a) What was the ratio of the number of erasers to the number of pens in Box B after the transfer?
(b) What was the number of items in Box B after the transfer?